Lesson 4

Dimes, Nickels, and Quarters

Est. Class Sessions: 2

Developing the Lesson

Part 2: Finding the Value of a Collection of Coins

Count On to Find the Value of Coins. Using a display set of coins, show 4 nickels and ask the students to identify the total value. Ask for different strategies for finding the value, but make sure that skip counting by fives is discussed. Then give the students a few minutes to find different ways they can make 20 cents, such as 2 dimes, 1 dime and 2 nickels, etc., and record them on the display.

Then display a quarter and 3 dimes.

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  • How much money do I have here? How can you count it? (Responses will vary.)

Students may suggest skip counting by tens to start. If so, let them model this.

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  • You've counted 10, 20, 30. Now what will you do with the quarter? How will you count that?
  • Is there some tool you've used that might help?

If no one suggests it, direct students to the 100 Chart. Ask if anyone remembers skip counting by tens when starting at a point other than zero (Units 9 and 10).

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  • How do you count by tens when you start someplace that is not zero? (Start at any number and move down a row on the chart.)
  • Who has a suggestion for where to start? (at the
    25 for the quarter)

Point to each number on the chart while the students count with you: 25, 35, 45, 55.

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  • Which way was easier—starting with zero and skip counting tens first or starting with 25 and then skip counting by tens? Why?

Display a few more combinations of coins for the students to find the values. Encourage students to start with the largest coins, then the next largest, ending with pennies. Model a few times either way so that students see that starting with the larger coins is usually much easier. Keep the total values below 50 cents and use no more than 5 pennies in each combination. Remind students to use skip counting and counting on whenever possible. If time permits, have students display combinations of coins for the other students to count. Students can use calculators to check their totals.

Find the Value of Coins in a Bag. Students work in pairs for this activity. Each group has a calculator and a paper bag with about 15 coins in it. Included among the coins should be three to four each of pennies, nickels, dimes, and quarters. See Materials Preparation.

To start the activity, one student reaches into the bag, withdraws three coins, and sets them on the table. Each student then records the names of the coins on the Bag of Coins page in the Student Activity Book and determines the total value of the coins. Remind students to use their 100 Charts in the Student Activity Book Reference section to help them find the value of the coins.

When both students in the pair have found the total value, they check it with the calculator. Encourage students to discuss strategies and to work together to find the correct value when there is a difference of opinion. If a student draws the same collection of coins as has already been drawn, he or she puts the coins back in the bag and redraws.

Use Check-In: Question 7 on the Bag of Coins pages in the Student Activity Book to assess students' abilities to skip count to find the value of a collection of coins [E6]; show their work [MPE5]; and use labels [MPE6].

To provide targeted practice, place the bags of coins and copies of the first Bag of Coins page in a center along with calculators.

Partition 100¢ into Three Parts. Distribute ten dimes to each student pair and display the Three Pockets Master.

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  • How many dimes do you need to equal one
    dollar?
    (10)
  • Skip count by tens to be sure you have enough.

Tell students the story of Joey, Chloe, and Zoey, triplets who share money they get for doing chores. Each day their mom puts dimes in the pockets of two children and they must determine how much money the third child should receive. The dimes equal one dollar each day. Tell students that you are going to place dimes on two of the display pockets and challenge them to find out how much money is in the third pocket.

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  • What strategies or tools might help determine how much money is in the third pocket? (Possible responses: 100 Chart, skip count by tens, dimes, a calculator, a number line)
  • The first pocket has [3 dimes] the second has
    [2 dimes], and we don't know how much money is in the third pocket. What number sentence represents the dimes in the pockets?

    ([30¢] + [20¢] + ______ ¢ = 100¢)

Write the incomplete number sentence below the three pockets then tell students to work the first problem individually. See Figure 5.

When finished, ask volunteers to tell what strategies they used to find the amount of money in the third pocket. Include each of the strategies shown in Figure 6, demonstrating those that students may not have used. After the strategies have been explained, complete the number sentence.

Continue with several more examples randomly alternating the empty pocket.

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  • 40¢ + 10¢ + ______ ¢ = 100¢ (50¢)
  • 50¢ + 50¢ + ______ ¢ = 100¢ (0¢)
  • 10¢ + ______ ¢ + 70¢ = 100¢ (20¢)
  • 40¢ + ______ ¢ + 30¢ = 100¢ (30¢)
  • ______ ¢ + 60¢ + 20¢ = 100¢ (20¢)
  • 20¢ + ______ ¢ + 40¢ = 100¢ (40¢)
  • ______ ¢ + 60¢ + 30¢ = 100¢ (10¢)

To provide more practice partitioning 100, assign the Shuttle Bus #100 page in the Student Activity Book. Discuss what the students are being asked to do and make sure they all understand the directions. The encircled tens on the page can be used with counters as a tool in addition to those demonstrated during discussion.

Use the Shuttle Bus #100 page in the Student Activity Book to assess students' abilities to partition 100 into groups of ten [E1]; represent partitions of numbers and addition situations using number sentences [E2, E3]; write numbers to 100 [E4]; and solve addition and subtraction problems involving multiples of ten using counters, coins, and the 100 Chart [E7].

To provide targeted practice with these Expectations, place copies of the Three Pockets Master and sets of 10 dimes in a center.

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SG_Mini
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SG_Mini
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SG_Mini
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SG_Mini
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Sample number sentence showing the missing addend
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Showing different strategies for 30¢ + 20¢ + ____ = 100¢
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